Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 656, 552, 220, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 656, 552, 220, 145 is 1
GCD(656, 552, 220, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 656, 552, 220, 145 is 1
GCD(656, 552, 220, 145) = 1
Given Input numbers are 656, 552, 220, 145
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 656, 552, 220, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 552, 220, 145 is 1.
Therefore, GCD of numbers 656, 552, 220, 145 is 1
Given Input Data is 656, 552, 220, 145
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 145 is 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(656, 552) = 45264
GCD(656, 552) = ( 656 x 552 ) / 45264
GCD(656, 552) = 362112 / 45264
GCD(656, 552) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 220) = 440
GCD(8, 220) = ( 8 x 220 ) / 440
GCD(8, 220) = 1760 / 440
GCD(8, 220) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 145) = 580
GCD(4, 145) = ( 4 x 145 ) / 580
GCD(4, 145) = 580 / 580
GCD(4, 145) = 1
GCD of 656, 552, 220, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 656, 552, 220, 145?
GCD of 656, 552, 220, 145 is 1
2. Where do I get the detailed procedure to find GCD of 656, 552, 220, 145?
You can find a detailed procedure to find GCD of 656, 552, 220, 145 on our page.
3. How to find GCD of 656, 552, 220, 145 on a calculator?
You can find the GCD of 656, 552, 220, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.